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Finding the Third Proportional to 2,759 and 3,347

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Solution

The third proportional to 2,759 and 3,347 is: 4,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759 : 3,347 = 3,347 : x
  2. Step 2: Convert to fraction form
    2,759/3,347 = 3,347/x
  3. Step 3: Cross multiply
    2,759x = 3,347 × 3,347
  4. Step 4: Simplify right side
    2,759x = 11,202,409
  5. Step 5: Solve for x
    x = 11,202,409/2,759
  6. Step 6: Final answer
    x = 4,060.31

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.